Research on complex nonequilibrium processes and nonlinear dynamics has seen remarkable growth, revealing rich behavior across classical and quantum ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

In everyday life, many systems obey simple, linear rules: if you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated interactions, ...

What is the difference between nonlinear mechanics and the chaos theory? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better ...

Deep-water wave groups are known to be unstable and become rogue. Such unstable wave groups propagate independently regardless of interference. Results seem to support the concept of an unperturbed ...

Nonlinearity is ubiquitous in both natural and engineering systems. The resultant dynamics has emerged as a multidisciplinary field that has been very extensively investigated, due partly to the ...

Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...

American Journal of Mathematics, Vol. 133, No. 1 (February 2011), pp. 91-130 (40 pages) We derive rigorously, for both ℝ² and [−L, L] ×2 , the cubic nonlinear Schrödinger equation in a suitable ...